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Finding the Fourth Proportional to 9,311.40, 12,850.38 and 5,775.75

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Solution

The fourth proportional to 9,311.40, 12,850.38 and 5,775.75 is: 7,970.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.40 : 12,850.38 = 5,775.75 : x
  2. Step 2: Convert to fraction form
    9,311.40/12,850.38 = 5,775.75/x
  3. Step 3: Cross multiply
    9,311.40x = 12,850.38 × 5,775.75
  4. Step 4: Simplify right side
    9,311.40x = 74,220,582.29
  5. Step 5: Solve for x
    x = 74,220,582.29/9,311.40
  6. Step 6: Final answer
    x = 7,970.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.